Three Dimensional Geometry Question 297
Question: The angle between the lines $ 2x=3y=-z $ and $ 6x=-y=-4z $ , is
[MP PET 1994, 99; AIEEE 2005]
Options:
A) $ 0{}^\circ $
B) $ 30{}^\circ $
C) $ 45{}^\circ $
D) $ 90{}^\circ $
Show Answer
Answer:
Correct Answer: D
Solution:
The lines are $ \frac{x}{3}=\frac{y}{2}=\frac{z}{-6} $ and $ \frac{x}{2}=\frac{y}{-12}=\frac{z}{-3} $ Since, $ a_1a_2+b_1b_2+c_1c_2=6-24+18=0\Rightarrow \theta =90^{o} $ .
BETA
